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Finding the Fourth Proportional to 16,690, 23,032.76 and 9,615.48

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Solution

The fourth proportional to 16,690, 23,032.76 and 9,615.48 is: 13,269.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,690 : 23,032.76 = 9,615.48 : x
  2. Step 2: Convert to fraction form
    16,690/23,032.76 = 9,615.48/x
  3. Step 3: Cross multiply
    16,690x = 23,032.76 × 9,615.48
  4. Step 4: Simplify right side
    16,690x = 221,471,043.12
  5. Step 5: Solve for x
    x = 221,471,043.12/16,690
  6. Step 6: Final answer
    x = 13,269.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.